Analytic geometry

Question 0

Length of a line segment

Answer 0

_____________________

-/(x2-x1)^2 + (y2-y1)^2

Question 1

Slope

Answer 1

Rise
—— =
Run

M= y2-y1
——
x2-x1.

Question 2

Midpoint of a line segment

Answer 2

(x1+x2) , (y1+y2)
(——–) , (——-)
( 2. ) , ( 2. )

Question 3

Finding ‘B’

Answer 3

• sub in everything you know.

- Solve

Question 4

Equation of a line

Answer 4

Y=mx+b

Question 5

Negative reciprocal

Answer 5

• Flip the fraction

- Change the sign

Question 6

How do you know what type of shape it is?

Answer 6

-Use slope
>negative reciprocals= isosceles
-length of line
>isosceles 2 the same
>equilateral all the same
>scalene all different.
-pythagreon Theorem
For square root of length  a^2 +b^ = square root of c^2

Question 7

Circle laws

Answer 7

(Centred at origin)
- x^2+y^2=r^2
-

Question 8

Perpendicular bisector

Answer 8

• equation of line that goes through another line.
• find mdpt of other line
• flip it as perpendicular bisector
• use y=mx+b
• sub in what is known
• solve for unknown